A new perspective on spectral analysis of numerical schemes
DOI10.1002/fld.2514zbMath1247.65120OpenAlexW2060072845MaRDI QIDQ2900444
Samuel K. M. Chenoweth, Julio Soria, Andrew Ooi
Publication date: 23 July 2012
Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/fld.2514
stabilityfinite difference methodconvection-diffusion equationnumerical examplesanisotropytransport equationspectral analysisdispersion errorregular meshes
Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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Cites Work
- Multidimensional optimization of finite difference schemes for computational aeroacoustics
- Compact finite difference schemes with spectral-like resolution
- Wavenumber-extended high-order upwind-biased finite-difference schemes for convective scalar transport
- Stability analysis of numerical boundary conditions in domain decomposition algorithms.
- Dispersion analysis of numerical approximations to plane wave motions in an isotropic elastic solid
- Finite element dispersion analysis for the three‐dimensional second‐order scalar wave equation
- A Dispersion Analysis of Finite Element Methods for Maxwell’s Equations
- Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
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